Math

For what values of k does the line y= x + k pass through the circle defined by x^2 + y^2 = 25 at:
2 points?
1 point?
0 points?
I found the discriminant: 100- 4k^2 but i don't know how to find for each of the points

  1. 0
asked by Ruth
  1. your discriminant is correct

    so for 2 points:
    100-4k^2 > 0
    -4k^2 > -100
    k^2 < 25
    -5 ≤ k ≤ +5

    for 1 point
    k = ± 5

    for 0 points,
    100 - 4k^2 < 0
    k < -5 OR k > 5

    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. Maths

    In our math class, we didn't really go through alot on The circle so I still have some problem about the question assigned to me : Two circle C1 and C2 have equations x^2 + y^2 +4x - 3 = 0 and 2x^2 + 2y^2 +4x -6y + 3 =0
  2. math

    For what values of k does the line y=x + k pass through the circle defined by x^2 + y^2 = 25 at: 2 points, 1 point, and 0 points i found the discriminant which is 100 - 4k^2 but im not sure how to find the values for each point
  3. math

    For what values of k does the line y= x + k pass through the circle defined by x^2 + y^2 = 25 at: a) 2 points b) 1 point c) 0 points
  4. math

    For what values of k does the line y= x + k pass through the circle defined by x^2 + y^2 = 25 at: 2 points? 1 point? 0 points? I found the discriminant: 100- 4k^2 but i don't know how to find for each of the points
  5. 8th grande transition algebra

    well, i am doing a math crossword puzzle on linear equations. I really need some help. here are the questions: what is Ax+By+C called? what are numbers used to graph a point? what is not a straight line? where does a line pass
  6. Math

    A tangent is a line that touches a circle at exactly one point. For what values of k will the line y= x+k be tangent to the circle x^2+ y^2 = 25? I know I'm suppose to use the properties of a discrimminate. But how
  7. trig question

    On a unit circle, sin x = square root 3 over 2, with center O. Vertical line from top to center of circle is PO. Horizontal line from middle to right of circle is OE. Another vertical line of AB is parallel to PO. And radius of
  8. Math-Pre-Calc

    Suppose that Mr. X will be giving away a golden homework pass to one student in each class. The recipient of this pass is excused from homework all year. He has developed a unique system for determining who will get the pass. 1.
  9. technical drawings

    a circle of diameter 80mm and a line BC. The ratio of the circle to the line BC is 7:5. what is the true length of the line from the center of the circle.2. what is the actual diamter of the cirlce. thanks
  10. trig question

    NEW DIAGRAM: On a unit circle, sin x = square root 3 over 2, with center O. Vertical line from top to center of circle is PO. Horizontal line from middle to right of circle is OE. Another vertical line of AB is parallel to PO. And

More Similar Questions